Kamau Faith a , Musundi Sammy Wabomba a* and Kinyanjui Jeremiah Ndung’u2025-03-062025-03-062024-08-20Kamau, F., Wabomba, S. M., & Ndung’u, K. J. (2024). On Browder spectrum and quasisimilarity of M-hyponormal operators in Hilbert spaces.https://repository.chuka.ac.ke/handle/123456789/16668Research articleThe spectrum of operators and quasisimilarity of m-hyponormal operators in Hilbert Spaces has been extensively studied. It has been shown that quasisimilarity of m-hyponormal operators have equal spectrum, equal Essential Spectrum and equal Weyl Spectrum. However, the consideration of equality of the Browder spectrum for m-hyponormal operators together with quasisimilarity has not been fully determined. Therefore, this study aims to consider the quasisimilarity of m hyponormal operators and determine the conditions under which quasisimilarity of m-hyponormal operators yields equal Browder spectrumenQuasisimilaritybrowder spectrumbiquasitriangularm-hyponormal operatorArticle